Results 231 to 240 of about 22,214 (260)
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Galerkin Projections and Finite Elements for Fractional Order Derivatives
Nonlinear Dynamics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Satwinder Jit +1 more
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Variable-, Fractional-Order Inertial Element
2016The paper concerns the dynamic properties of the variable-, fractional-order inertial element (VFOIE). The application of a negative feedback to the variable-, fractional-order integrator (VFOI) leads to the VFOIE. The investigations are supported by numerical examples.
Piotr Ostalczyk, Dorota Mozyrska
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Variable-, Fractional-Order Oscillation Element
2016The dynamic properties of the variable-, fractional-order oscillation element (VFOOE) are investigated in the paper. The equations and the block diagram are derived. Stability and existence conditions of solutions of proposed systems are considered. For the illustration numerical examples are presented.
Dorota Mozyrska, Piotr Ostalczyk
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On the stability of linear systems with fractional-order elements
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radwan, A. G. +3 more
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Symmetrical T-network with fractional order elements
2016 IEEE 16th International Conference on Environment and Electrical Engineering (EEEIC), 2016The paper presents a symmetrical T-network utilizing fractional order elements. Fractional calculus was used for its modeling. A comparative analysis of a classic T-network and fractional order T-network step responses was carried out for both no-load condition and short-circuit condition.
Maciej Wlodarczyk, Jaroslaw Szczepaniak
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On the Energy Stored in Fractional-Order Electrical Elements
Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, 2013In this paper, fractional-order electrical elements are considered as energy storage devices. They are studied by comparing the energy available from the element to do future external work, relative to the energy input into the element in the past. A standard circuit realization is used to represent the fractional-order element connected to an inductor
Tom T. Hartley +3 more
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Energy Considerations for Mechanical Fractional-Order Elements
Journal of Computational and Nonlinear Dynamics, 2014This paper considers the energy aspects of fractional-order elements defined by the equation: force is proportional to the fractional-order derivative of displacement, with order varying from zero to two. In contrast to the typically conservative assumption of classical physics that leads to the potential and kinetic energy expressions, a number of ...
Carl F. Lorenzo, Tom T. Hartley
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The modeling of multibody systems with fractional-order elements
Proceedings of the 14th International Carpathian Control Conference (ICCC), 2013The fractional-order models, that is models described by differential equations of arbitrary real order, are gaining popularity in advanced control theory. In this study, an implementation of fractional-order elements in multibody dynamics systems is shown.
Janusz Kowal, Wojciech Lepiarz
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SoftFRAC - Matlab Library for Realization of Fractional Order Dynamic Elements
2020Nowadays, a realization of non-integer (fractional) order elements on a digital platform is a widely researched problem. The theory of such dynamic components is relatively well grounded. However, many problems of implementation on a digital platform are still open.
Waldemar Bauer +4 more
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Analog Implementation of Fractional-Order Elements and Their Applications.
2019With advancements in the theory of fractional calculus and also with widespread engineering application of fractional-order systems, analog implementation of fractional-order integrators and differentiators have received considerable attention. This is due to the fact that this powerful mathematical tool allows us to describe and model a real-world ...
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